1125068400 has 120 divisors (see below), whose sum is σ = 4004448560. Its totient is φ = 300015360.

The previous prime is 1125068389. The next prime is 1125068401. The reversal of 1125068400 is 48605211.

1125068400 is a `hidden beast` number, since 1 + 1 + 250 + 6 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125068401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41287 + ... + 62886.

Almost surely, 2^1125068400 is an apocalyptic number.

1125068400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1125068400 is an abundant number, since it is smaller than the sum of its proper divisors (2879380160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1125068400 is a wasteful number, since it uses less digits than its factorization.

1125068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104200 (or 104183 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1125068400 is about 33542.0392939964. The cubic root of 1125068400 is about 1040.0629892815.

The spelling of 1125068400 in words is "one billion, one hundred twenty-five million, sixty-eight thousand, four hundred".